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Finding the Fourth Proportional to 132.78, 183.24 and 74.56

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Solution

The fourth proportional to 132.78, 183.24 and 74.56 is: 102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.78 : 183.24 = 74.56 : x
  2. Step 2: Convert to fraction form
    132.78/183.24 = 74.56/x
  3. Step 3: Cross multiply
    132.78x = 183.24 × 74.56
  4. Step 4: Simplify right side
    132.78x = 13,662.37
  5. Step 5: Solve for x
    x = 13,662.37/132.78
  6. Step 6: Final answer
    x = 102.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.